| |
| |
1. |
The enrollments at the University of Texas at Austin in some recent years were 47,905, 48,008, 48,857, 48,906, and 49,009. Find the standard deviation of the data. |
| |
|
A. |
452.93 |
B. |
461.28 |
| |
|
C. |
434.00 |
D. |
477.62 |
| |
|
Hint |
|
| |
2. |
What percent of the data is between 62 and 90 for Exam B? |
| |
|
 |
| |
|
A. |
75% |
B. |
50% |
| |
|
C. |
25% |
D. |
100% |
| |
|
Hint |
|
| |
3. |
How many lines are determined by 7 points, no three of which are collinear? |
| |
|
A. |
42 |
B. |
105 |
| |
|
C. |
200 |
D. |
21 |
| |
|
Hint |
|
| |
4. |
Find the probability of drawing a red ace and a red king from a standard deck of cards without replacement. |
| |
|
A. |
 or about 0.0015 |
B. |
 or about 0.0392 |
| |
|
C. |
 or about 0.0060 |
D. |
 or about 0.0385 |
| |
|
Hint |
|
| |
5. |
A scatter plot is __________. |
| |
|
A. |
a set of data graphed as ordered pairs in a coordinate plane |
B. |
a line graphed in a portion of Quadrant I of the coordinate plane |
| |
|
C. |
a table of data |
D. |
a line graph |
| |
|
Hint |
|
| |
6. |
A composition teacher needs to choose 10 students out of 15 to serve as rough draft reviewers. A group of 10 seniors, 3 juniors, and 2 sophomores have volunteered. If the students are chosen randomly, what is the probability that 6 seniors, 2 juniors, and 2 sophomores will be selected? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
7. |
A bag contains 10 red marbles, 5 gray marbles, 12 black marbles, and 8 white marbles. Two marbles are randomly drawn from the bag without replacement. What is the probability of drawing a black marble followed by a red marble? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
8. |
Two number cubes are rolled. What is the probability of rolling a sum of 9 or a sum that is even? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
9. |
The table shows the results when a number cube was rolled. What is the experimental probability of rolling a five? |
| |
|
 |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
10. |
The table shows the results of rolling a number cube over three separate experiments. What is the experimental probability of rolling a six? |
| |
|
 |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
|
| |
|
Hint |
|
| |
11. |
Suppose three coins are tossed, and each time, they turn up heads. What is the probability that the next toss will be heads? |
| |
|
A. |
0.125 |
B. |
0.9375 |
| |
|
C. |
0.0625 |
D. |
0.5 |
| |
|
Hint |
|
| |
12. |
Martha goes to the dentist and finds out that she has five cavities. If she has 16 upper teeth and 16 lower teeth, what is the probability that all five cavities are on the upper teeth? |
| |
|
A. |
0.22 |
B. |
0.011 |
| |
|
C. |
0.11 |
D. |
0.022 |
| |
|
Hint |
|
| |
13. |
One card is drawn from a standard deck of cards. What is the probability that it is either a black card or a face card? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
14. |
Suppose that the mean is 50. How many standard deviations away is the value 65? |
| |
|
A. |
about 2 standard deviations |
B. |
within 1 standard deviation |
| |
|
C. |
about 1 standard deviation |
D. |
cannot be determined from given information |
| |
|
Hint |
|
|
|